The sieve of Sundaram: Difference between revisions
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0.022684 seconds (6 allocations: 5.785 MiB) |
0.022684 seconds (6 allocations: 5.785 MiB) |
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</pre> |
</pre> |
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=={{header|Mathematica}}/{{header|Wolfram Language}}== |
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<lang Mathematica>ClearAll[SieveOfSundaram] |
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SieveOfSundaram[n_Integer] := Module[{i, prefac, k, ints}, |
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k = Floor[(n - 2)/2]; |
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ints = ConstantArray[True, k + 1]; |
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Do[ |
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prefac = 2 i + 1; |
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If[i + i prefac <= k, |
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ints[[i + i prefac ;; ;; prefac]] = False |
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]; |
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, |
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{i, 1, k + 1} |
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]; |
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2 Flatten[Position[ints, True]] + 1 |
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] |
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SieveOfSundaram[600][[;; 100]] |
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SieveOfSundaram[16000000][[10^6]]</lang> |
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{{out}} |
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<pre>{3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547} |
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15485867</pre> |
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=={{header|Nim}}== |
=={{header|Nim}}== |